Android: You can use Facebook's mobile web site than the official app for better battery, faster performance, and to get rid of all the privacy permissions the app needs. But it doesn't give you notifications. IFTTT for Android can solve that.

That's it! Your Android app will start showing Facebook updates in your notifications bar just like the official Facebook app does. This way, you can use the mobile site for a faster, privacy-friendly experience and still not miss out on anything.